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Finding the Fourth Proportional to 463,468, 639,585.84 and 251,500

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Solution

The fourth proportional to 463,468, 639,585.84 and 251,500 is: 347,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,468 : 639,585.84 = 251,500 : x
  2. Step 2: Convert to fraction form
    463,468/639,585.84 = 251,500/x
  3. Step 3: Cross multiply
    463,468x = 639,585.84 × 251,500
  4. Step 4: Simplify right side
    463,468x = 160,855,838,760
  5. Step 5: Solve for x
    x = 160,855,838,760/463,468
  6. Step 6: Final answer
    x = 347,070

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.